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https://hdl.handle.net/2440/3511
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Type: | Journal article |
Title: | On the complete integrability of the discrete Nahm equations |
Author: | Murray, M. Singer, M. |
Citation: | Communications in Mathematical Physics, 2000; 210(2):497-519 |
Publisher: | Springer |
Issue Date: | 2000 |
ISSN: | 0010-3616 1432-0916 |
Abstract: | The discrete Nahm equations, a system of matrix valued difference equations, arose in the work of Braam and Austin on half-integral mass hyperbolic monopoles. We show that the discrete Nahm equations are completely integrable in a natural sense: to any solution we can associate a spectral curve and a holomorphic line-bundle over the spectral curve, such that the discrete-time DN evolution corresponds to walking in the Jacobian of the spectral curve in a straight line through the line-bundle with steps of a fixed size. Some of the implications for hyperbolic monopoles are also discussed. |
DOI: | 10.1007/s002200050789 |
Published version: | http://dx.doi.org/10.1007/s002200050789 |
Appears in Collections: | Aurora harvest 6 Pure Mathematics publications |
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